Evaluate the following integrals:


To Find :


Now, let x be written as - (1 - 2x) and split


Therefore ,


=


= +


Now solving,


Let = u dx =


Thus,becomes


Now , = = ) =


=


Now solving,


can be written as


i.e, =


let 2x – 1 = y dx =


Therefore , becomes


Formula Used: = + + C


Since is of the form with change in variable .


Hence, = + + C


= + + C


Since , 2x – 1 = y and dx =


Therefore,


= + + C


i.e, = + + C


hence , = + = = + + + C


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